Title :

Cost-effective optimization strategies and sampling plan for Weibull quantiles under type-II censoring

Author(s) :

Nadi, Adel Ahmadi [Auteur]
Génie des Matériaux Textiles - ULR 2461 [GEMTEX]
Gildeh, B. S. [Auteur]
Kazempoor, J. [Auteur]
Tran, K. D. [Auteur]
Tran, Kim-Phuc [Auteur]
Génie des Matériaux Textiles - ULR 2461 [GEMTEX]

Journal title :

Applied Mathematical Modelling

Abbreviated title :

Appl. Math. Model.

Volume number :

116

Pages :

16-31

Publication date :

2023-04

ISSN :

0307-904X

English keyword(s) :

Reliability sampling plans
Economical design of variable sampling
Inspection cost model
Progressive censored samples
Producers and consumers risks

HAL domain(s) :

Sciences de l'ingénieur [physics]

English abstract : [en]

This article introduces a conditional reliability sampling plan for the Weibull distribution. The plan is applicable when the interested quality characteristic is a lower quantile and the life data are observed according ...
Show more >This article introduces a conditional reliability sampling plan for the Weibull distribution. The plan is applicable when the interested quality characteristic is a lower quantile and the life data are observed according to a progressive type-II censoring scheme. It is called “conditional”, since its operating characteristic function is derived by conditioning on a vector of ancillary statistics. We approximate the conditional operating characteristic function by a fixed vector that does not change by the sample. The plan is optimally designed by concentrating on economic considerations while the producer’s and consumer’s confidences are satisfied. In this regard, three cost models are proposed. The first cost function is constructed based on the inspection cost, while the second model accounts for the inaccurate estimation cost. The third cost function is a weighted-relative combination of the other two costs. Based on some combinations of requirements, the optimal plan parameters are prepared in some tables. We further conduct a series of simulations to show that the approximated conditional operating characteristic function can ensure the inspection’s risks well. Finally, an example based on the well-known data set on the strength of carbon fibers is discussed to demonstrate the applicability of the proposed plan.Show less >

Language :

Anglais

Audience :

Internationale

Popular science :

Non

Administrative institution(s) :

Université de Lille
ENSAIT
Junia HEI

Collections :

• Génie des matériaux textiles (GEMTEX) - ULR 2641

Submission date :

2023-06-20T12:10:56Z
2024-02-20T12:01:45Z